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Orders on Trees and Free Products of Left-ordered Groups
Warren Dicks, Zoran Šunić
Source record
Source: Crossref
Published: Mar 31, 2020
DOI: 10.4153/s0008439519000389
Open original source ↗Source abstract
Abstract We construct total orders on the vertex set of an oriented tree. The orders are based only on up-down counts at the interior vertices and the edges along the unique geodesic from a given vertex to another. As an application, we provide a short proof (modulo Bass–Serre theory) of Vinogradov’s result that the free product of left-orderable groups is left-orderable.
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